Prime p₀= 995771867149171457 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 70 2 28 2 88 2 4 2 (?)
a_n: 0 2 72 74 102 104 174 176 204 206 294 296 300 302
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 302
Found by: Theadalus
db: batch=76, k=14, 70 28 70 28 88 4

STPT(10)	995771000186982821	0 2 6 8 48 50 90 92 96 98	-866962188636
STPT(10)	995771150170181387	0 2 30 32 60 62 90 92 120 122	-716978990070
SPT(16)	995771212975537259	0 18 20 42 44 78 128 132 200 204 254 288 290 312 314 332	-654173634198
SPT(16)	995771707795443301	0 42 46 66 88 100 112 118 210 216 228 240 262 282 286 328	-159353728156
SPT(16)	995771762727381139	0 22 30 48 52 118 154 162 190 198 234 300 304 322 330 352	-104421790318
STPT(10)	995771774480128991	0 2 36 38 78 80 120 122 156 158	-92669042466
SPT(16)	995772533842867111	0 6 36 90 126 226 238 240 328 330 342 442 478 532 562 568	666693695654
STPT(10)	995772601740484817	0 2 12 14 72 74 132 134 144 146	734591313360
SPT(16)	995773061191080013	0 6 18 30 36 64 100 118 156 174 210 238 244 256 268 274	1194041908556
STPT(10)	995773279071301271	0 2 30 32 78 80 126 128 156 158	1411922129814
SPT(16)	995773370600648099	0 12 42 152 174 182 194 224 228 258 270 278 300 410 440 452	1503451476642